MHB How Can You Test for Symmetry in Mathematics?

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To test for symmetry in mathematics, one can evaluate functions for symmetry about the x-axis, y-axis, and origin. The function y = 2x - 4 is analyzed, revealing it is not symmetric about the y-axis or the origin. When substituting -x into the function, the resulting expression does not match the original, confirming a lack of symmetry. The discussion emphasizes the importance of applying specific rules for testing symmetry in algebraic functions. Overall, understanding these symmetry tests is crucial for analyzing mathematical graphs.
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Test for symmetry about the x-axis, y-axis and origin.

| y | = 2x - 4

What are the rules for testing for symmetry?
 
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RTCNTC said:
Test for symmetry about the x-axis, y-axis and origin.

| y | = 2x - 4

What are the rules for testing for symmetry?

... have you researched "testing graphs for symmetry" ?

Algebra - Symmetry
 
Great! I will answer both symmetry questions tomorrow. Going to work now.
 
| y | = 2x - 4

| -y | = 2x - 4

y = 2x - 4

Symmetric about the x-axis?

| y | = 2(-x) - 4

| y | = -2x - 4

| y | = -2x - 4

Not symmetric about the y-axis.

| y | = 2x - 4

| -y | = 2(-x) - 4

y = -2x - 4

Not symmetric about the origin?
 

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